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General Relativity and Gravitation

, Volume 30, Issue 5, pp 681–694 | Cite as

Dynamical Vacuum in Quantum Cosmology

  • Flávio G. Alvarenga
  • Nivaldo A. Lemos
Article

Abstract

By regarding the vacuum as a perfect fluid with equation of state p = -ρ, de Sitter's cosmological model is quantized. Our treatment differs from previous ones in that it endows the vacuum with dynamical degrees of freedom, following modern ideas that the cosmological term is a manifestation of the vacuum energy. Instead of being postulated from the start, the cosmological constant arises from the degrees of freedom of the vacuum regarded as a dynamical entity, and a time variable can be naturally introduced. Taking the scale factor as the sole degree of freedom of the gravitational field, stationary and wave-packet solutions to the Wheeler-DeWitt equation are found, whose properties are studied. It is found that states of the Universe with a definite value of the cosmological constant do not exist. For the wave packets investigated, quantum effects are noticeable only for small values of the scale factor, a classical regime being attained at asymptotically large times.

WHEELER-DEWITT EQUATION DE SITTER MODEL COSMOLOGICAL CONSTANT 

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Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • Flávio G. Alvarenga
  • Nivaldo A. Lemos

There are no affiliations available

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